Statistics



Quartiles
Split into quartes the following set of data:
2 1 3 2 1 1 2 3 1 4 3 1
Step 1. Rearrange the value in ascending order:
1 1 1 1 1 2 2 2 3 3 3
Step 2. Split into quartes: This are the same data as before, but this tim eit's split into quartes: The quartiles are:
Steps to find quartile values on a data set with n elements: Find the quartiles of the data set: {1, 3, 4, 5, 5, 6, 9, 14, 21} Step 1. n = 9, so which becomes 3 after rounding up. The lower quartile value is the 3rd data point, Q_{1}=4. There is another way to find the quartiles: Turkey's method:
Divide the set into four equal parts (by Turkey's method):
{6, 3, 4, 9, 6, 2, 7, 7, 8, 4, 10}
Step 1. Arrange your data in ascending order:
2, 3, 4, 4, 6, 6, 7, 7, 8, 9, 10
Step 2. Find the median of the data set.
This is Q_{2}=6
Step 3. Find the median of the lower half of the data set (in parenthesis)
(2, 3, 4, 4, 6), 6, 7, 7, 8, 9, 10
This is Q_{1}=4. Step 4. Find the median of the upper half of the data set (in parenthesis)
2, 3, 4, 4, 6, 6, (7, 7, 8, 9, 10)
This is Q_{3}=8 Quartiles for grouped data. where:
Find Q_{1} from these grouped data:
